Istituto di Scienza e Tecnologie dell'Informazione     
Favati P., Pappalardo M. On the reciprocal vector optimization problems. In: Journal of Optimization Theory and Applications, vol. 47 (2) pp. 181 - 193. Plenum Publishing Corporation, 1985.
A necessary and sufficient condition is established for an optimal solution of a primal vector optimization problem to be an optimal solution of its reciprocal. Such a condition is developed and analyzed in the Pareto case, the strong case, and the lexicographic case. We detail these results for ordinary (i.e., scalar) optimization problems.
Subject Vector optimization
Pareto optimality
Lexico-graphic order
Theorems of the alternative

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